Cyclic Groups Abstract Algebra











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Cyclic groups are the building blocks of abelian groups. There are finite and infinite cyclic groups. In this video we will define cyclic groups, give a list of all cyclic groups, talk about the name “cyclic,” and see why they are so essential in abstract algebra. • Be sure to subscribe so you don't miss new lessons from Socratica: • http://bit.ly/1ixuu9W • ♦♦♦♦♦♦♦♦♦♦ • We recommend the following textbooks: • Dummit Foote, Abstract Algebra 3rd Edition • http://amzn.to/2oOBd5S • Milne, Algebra Course Notes (available free online) • http://www.jmilne.org/math/CourseNote... • ♦♦♦♦♦♦♦♦♦♦ • Ways to support our channel: • ► Join our Patreon :   / socratica   • ► Make a one-time PayPal donation: https://www.paypal.me/socratica • ► We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 • Thank you! • • ♦♦♦♦♦♦♦♦♦♦ • Connect with us! • Facebook:   / socraticastudios   • Instagram:   / socraticastudios   • Twitter:   / socratica   • ♦♦♦♦♦♦♦♦♦♦ • Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro • Written​ ​ ​ ​Directed​ ​by​ ​Michael​ ​Harrison • Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison • ♦♦♦♦♦♦♦♦♦♦

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